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gyrate rhombicosidodecahedron : ウィキペディア英語版
gyrate rhombicosidodecahedron

In geometry, the gyrate rhombicosidodecahedron is one of the
Johnson solids (''J''72).
== Related polyhedron ==

It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees. They have the same faces around each vertex, but vertex configurations along the rotation become a different order, ''3.4.4.5''.
Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are:
the parabigyrate rhombicosidodecahedron (J73) where two opposing cupolae are rotated, the metabigyrate rhombicosidodecahedron (J74) where two non-opposing cupolae are rotated and the trigyrate rhombicosidodecahedron (J75) where three cupolae are rotated.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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